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Finding the Fourth Proportional to 538,228.56, 807,343.97 and 505,345.65

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Solution

The fourth proportional to 538,228.56, 807,343.97 and 505,345.65 is: 758,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,228.56 : 807,343.97 = 505,345.65 : x
  2. Step 2: Convert to fraction form
    538,228.56/807,343.97 = 505,345.65/x
  3. Step 3: Cross multiply
    538,228.56x = 807,343.97 × 505,345.65
  4. Step 4: Simplify right side
    538,228.56x = 407,987,763,293.23
  5. Step 5: Solve for x
    x = 407,987,763,293.23/538,228.56
  6. Step 6: Final answer
    x = 758,019.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.